{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "41525051",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 构建一个玩具数据集\n",
    "corpus = [\"我特别特别喜欢看电影\",\n",
    "        \"这部电影真的是很好看的电影\",\n",
    "        \"今天天气真好是难得的好天气\",\n",
    "        \"我今天去看了一部电影\",\n",
    "        \"电影院的电影都很好看\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3a981d79",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Building prefix dict from the default dictionary ...\n",
      "Loading model from cache C:\\Users\\HUANGJ~1.ARE\\AppData\\Local\\Temp\\jieba.cache\n",
      "Loading model cost 0.451 seconds.\n",
      "Prefix dict has been built successfully.\n"
     ]
    }
   ],
   "source": [
    "# 对句子进行分词\n",
    "import jieba # 导入 jieba 包\n",
    "# 使用 jieba.cut 进行分词，并将结果转换为列表，存储在 corpus_tokenized 中\n",
    "corpus_tokenized = [list(jieba.cut(sentence)) for sentence in corpus]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5e7e6f9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 词汇表： {'我': 0, '特别': 1, '喜欢': 2, '看': 3, '电影': 4, '这部': 5, '真的': 6, '是': 7, '很': 8, '好看': 9, '的': 10, '今天天气': 11, '真好': 12, '难得': 13, '好': 14, '天气': 15, '今天': 16, '去': 17, '了': 18, '一部': 19, '电影院': 20, '都': 21}\n"
     ]
    }
   ],
   "source": [
    "# 创建词汇表\n",
    "word_dict = {} # 初始化词汇表\n",
    "# 遍历分词后的语料库\n",
    "for sentence in corpus_tokenized:\n",
    "    for word in sentence:\n",
    "        # 如果词汇表中没有该词，则将其添加到词汇表中\n",
    "        if word not in word_dict:\n",
    "            word_dict[word] = len(word_dict) # 分配当前词汇表索引\n",
    "print(\" 词汇表：\", word_dict) # 打印词汇表"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "573cf7d5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 词袋表示： [[1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]]\n"
     ]
    }
   ],
   "source": [
    "# 根据词汇表将句子转换为词袋表示\n",
    "bow_vectors = [] # 初始化词袋表示\n",
    "# 遍历分词后的语料库\n",
    "for sentence in corpus_tokenized:\n",
    "    # 初始化一个全 0 向量，其长度等于词汇表大小\n",
    "    sentence_vector = [0] * len(word_dict)\n",
    "    for word in sentence:\n",
    "        # 将对应词的索引位置加 1，表示该词在当前句子中出现了一次\n",
    "        sentence_vector[word_dict[word]] += 1\n",
    "    # 将当前句子的词袋向量添加到向量列表中\n",
    "    bow_vectors.append(sentence_vector)\n",
    "print(\" 词袋表示：\", bow_vectors) # 打印词袋表示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "96cd6fba",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入 numpy 库，用于计算余弦相似度\n",
    "import numpy as np \n",
    "# 定义余弦相似度函数\n",
    "def cosine_similarity(vec1, vec2):\n",
    "    dot_product = np.dot(vec1, vec2) # 计算向量 vec1 和 vec2 的点积\n",
    "    norm_a = np.linalg.norm(vec1) # 计算向量 vec1 的范数\n",
    "    norm_b = np.linalg.norm(vec2) # 计算向量 vec2 的范数  \n",
    "    return dot_product / (norm_a * norm_b) # 返回余弦相似度\n",
    "# 初始化一个全 0 矩阵，用于存储余弦相似度\n",
    "similarity_matrix = np.zeros((len(corpus), len(corpus)))\n",
    "# 计算每两个句子之间的余弦相似度\n",
    "for i in range(len(corpus)):\n",
    "    for j in range(len(corpus)):\n",
    "        similarity_matrix[i][j] = cosine_similarity(bow_vectors[i], \n",
    "                                                    bow_vectors[j])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4015a5c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入 matplotlib 库，用于可视化余弦相似度矩阵\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams[\"font.family\"]=['SimHei'] # 用来设定字体样式\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] # 用来设定无衬线字体样式\n",
    "plt.rcParams['axes.unicode_minus']=False # 用来正常显示负号\n",
    "fig, ax = plt.subplots() # 创建一个绘图对象\n",
    "# 使用 matshow 函数绘制余弦相似度矩阵，颜色使用蓝色调\n",
    "cax = ax.matshow(similarity_matrix, cmap=plt.cm.Blues)\n",
    "fig.colorbar(cax) # 条形图颜色映射\n",
    "ax.set_xticks(range(len(corpus))) # x 轴刻度\n",
    "ax.set_yticks(range(len(corpus))) # y 轴刻度\n",
    "ax.set_xticklabels(corpus, rotation=45, ha='left') # 刻度标签 \n",
    "ax.set_yticklabels(corpus) # 刻度标签为原始句子\n",
    "plt.show() # 显示图形"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
